A point D is fixed on the side BC of the triangle ABC. Two points Pand Q are picked independently at random in ABD and ADC respectively. Show that E|APQ| = |AG₁G₂| = |ABC), where G₁ and G₂ are the centres of gravity of ABD and ADC.
A point D is fixed on the side BC of the triangle ABC. Two points Pand Q are picked independently at random in ABD and ADC respectively. Show that E|APQ| = |AG₁G₂| = |ABC), where G₁ and G₂ are the centres of gravity of ABD and ADC.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 68E
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